The only way my gf could have gotten lice that we backtracked was an overcrowded public pool
Well am not a total expert but I read about lice, and no they can not be transferred threw chlorine pool water. It would only happen if you had head to head contact and chlorine doesnt really kill off lice. Hope it helps. You can go to copperwiki.org and put in head lice it'll give you a lot of info.